Definition:Absolute Galois Group/Definition 1

Definition

Let $K$ be a field.

The absolute Galois group of $K$ is the Galois group $\Gal {K^{\operatorname{sep} } \mid K}$ of its separable closure.

Also see

• Equivalence of Definitions of Absolute Galois Group

• Results about absolute Galois groups can be found here.

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